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Finding the Fourth Proportional to 213,062.64, 319,287.12 and 146,577.84

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Solution

The fourth proportional to 213,062.64, 319,287.12 and 146,577.84 is: 219,655.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,062.64 : 319,287.12 = 146,577.84 : x
  2. Step 2: Convert to fraction form
    213,062.64/319,287.12 = 146,577.84/x
  3. Step 3: Cross multiply
    213,062.64x = 319,287.12 × 146,577.84
  4. Step 4: Simplify right side
    213,062.64x = 46,800,416,389.42
  5. Step 5: Solve for x
    x = 46,800,416,389.42/213,062.64
  6. Step 6: Final answer
    x = 219,655.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.